Question

Point M is the midpoint of segment KL. Point N is the midpoint of segment ML.

A line with the points of K, L, M, and N, in which point M is the midpoint of KL, and point N is the midpoint of ML.

Point K is located at (-7,-6), and point L is located at (1,10). What are the coordinates of point N?

Answer 1

Point N is located at (-1, 6).

Explanation:

To find the coordinates of point N, we can use the midpoint formula, which states that the midpoint of a line segment is the average of the x-coordinates and the average of the y-coordinates of its endpoints 1.

Given that point M is the midpoint of KL, we can find its coordinates by averaging the x-coordinates and y-coordinates of points K and L:

x-coordinate of M = (x-coordinate of K + x-coordinate of L) / 2 = (-7 + 1) / 2 = -3

y-coordinate of M = (y-coordinate of K + y-coordinate of L) / 2 = (-6 + 10) / 2 = 2

Therefore, point M is located at (-3, 2).

Next, we can use point M and point L to find the coordinates of point N. Since point N is the midpoint of ML, we can use the same formula as above:

x-coordinate of N = (x-coordinate of M + x-coordinate of L) / 2 = (-3 + 1) / 2 = -1

y-coordinate of N = (y-coordinate of M + y-coordinate of L) / 2 = (2 + 10) / 2 = 6

Therefore, point N is located at (-1, 6).

I hope this helps! Let me know if you have any other questions.